where \(\mathrm {e}^{w_\alpha (\epsilon )}\)  denotes the respective characterIn the case of a topologically trivial background, it turns out that the index can be written as a sum over contributions from the fixed points. For more general backgrounds this is still a conjecture [1]}.. Therefore, in order to compute the one-loop determinant it is paramount to have the equivariant index of \(\eth \)  at our disposal.
